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Finding the Fourth Proportional to 12,097.68, 18,133.44 and 5,081.49

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Solution

The fourth proportional to 12,097.68, 18,133.44 and 5,081.49 is: 7,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.68 : 18,133.44 = 5,081.49 : x
  2. Step 2: Convert to fraction form
    12,097.68/18,133.44 = 5,081.49/x
  3. Step 3: Cross multiply
    12,097.68x = 18,133.44 × 5,081.49
  4. Step 4: Simplify right side
    12,097.68x = 92,144,894.03
  5. Step 5: Solve for x
    x = 92,144,894.03/12,097.68
  6. Step 6: Final answer
    x = 7,616.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.